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Finding the Fourth Proportional to 144,018,804, 198,747,815.76 and 78,827,308.32

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Solution

The fourth proportional to 144,018,804, 198,747,815.76 and 78,827,308.32 is: 108,782,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,018,804 : 198,747,815.76 = 78,827,308.32 : x
  2. Step 2: Convert to fraction form
    144,018,804/198,747,815.76 = 78,827,308.32/x
  3. Step 3: Cross multiply
    144,018,804x = 198,747,815.76 × 78,827,308.32
  4. Step 4: Simplify right side
    144,018,804x = 15,666,755,350,840,072
  5. Step 5: Solve for x
    x = 15,666,755,350,840,072/144,018,804
  6. Step 6: Final answer
    x = 108,782,706.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.