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Finding the Fourth Proportional to 144,543.83, 216,908.30 and 78,030.28

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Solution

The fourth proportional to 144,543.83, 216,908.30 and 78,030.28 is: 117,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,543.83 : 216,908.30 = 78,030.28 : x
  2. Step 2: Convert to fraction form
    144,543.83/216,908.30 = 78,030.28/x
  3. Step 3: Cross multiply
    144,543.83x = 216,908.30 × 78,030.28
  4. Step 4: Simplify right side
    144,543.83x = 16,925,414,450.90
  5. Step 5: Solve for x
    x = 16,925,414,450.90/144,543.83
  6. Step 6: Final answer
    x = 117,095.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.