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Finding the Fourth Proportional to 78,443.34, 116,834.60 and 78,061.02

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Solution

The fourth proportional to 78,443.34, 116,834.60 and 78,061.02 is: 116,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,443.34 : 116,834.60 = 78,061.02 : x
  2. Step 2: Convert to fraction form
    78,443.34/116,834.60 = 78,061.02/x
  3. Step 3: Cross multiply
    78,443.34x = 116,834.60 × 78,061.02
  4. Step 4: Simplify right side
    78,443.34x = 9,120,227,656.99
  5. Step 5: Solve for x
    x = 9,120,227,656.99/78,443.34
  6. Step 6: Final answer
    x = 116,265.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.