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Finding the Fourth Proportional to 78,124.94, 117,192.87 and 38,671.46

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Solution

The fourth proportional to 78,124.94, 117,192.87 and 38,671.46 is: 58,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,124.94 : 117,192.87 = 38,671.46 : x
  2. Step 2: Convert to fraction form
    78,124.94/117,192.87 = 38,671.46/x
  3. Step 3: Cross multiply
    78,124.94x = 117,192.87 × 38,671.46
  4. Step 4: Simplify right side
    78,124.94x = 4,532,018,798.53
  5. Step 5: Solve for x
    x = 4,532,018,798.53/78,124.94
  6. Step 6: Final answer
    x = 58,009.89

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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.