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Finding the Fourth Proportional to 78,088.19, 117,154.17 and 31,373.87

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Solution

The fourth proportional to 78,088.19, 117,154.17 and 31,373.87 is: 47,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,088.19 : 117,154.17 = 31,373.87 : x
  2. Step 2: Convert to fraction form
    78,088.19/117,154.17 = 31,373.87/x
  3. Step 3: Cross multiply
    78,088.19x = 117,154.17 × 31,373.87
  4. Step 4: Simplify right side
    78,088.19x = 3,675,579,699.54
  5. Step 5: Solve for x
    x = 3,675,579,699.54/78,088.19
  6. Step 6: Final answer
    x = 47,069.60

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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.