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Finding the Fourth Proportional to 138,307.59, 190,862.65 and 77,884.20

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Solution

The fourth proportional to 138,307.59, 190,862.65 and 77,884.20 is: 107,479.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,307.59 : 190,862.65 = 77,884.20 : x
  2. Step 2: Convert to fraction form
    138,307.59/190,862.65 = 77,884.20/x
  3. Step 3: Cross multiply
    138,307.59x = 190,862.65 × 77,884.20
  4. Step 4: Simplify right side
    138,307.59x = 14,865,183,461.40
  5. Step 5: Solve for x
    x = 14,865,183,461.40/138,307.59
  6. Step 6: Final answer
    x = 107,479.16

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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.