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Finding the Fourth Proportional to 128,646.20, 177,531.74 and 78,345.20

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Solution

The fourth proportional to 128,646.20, 177,531.74 and 78,345.20 is: 108,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,646.20 : 177,531.74 = 78,345.20 : x
  2. Step 2: Convert to fraction form
    128,646.20/177,531.74 = 78,345.20/x
  3. Step 3: Cross multiply
    128,646.20x = 177,531.74 × 78,345.20
  4. Step 4: Simplify right side
    128,646.20x = 13,908,758,397.26
  5. Step 5: Solve for x
    x = 13,908,758,397.26/128,646.20
  6. Step 6: Final answer
    x = 108,116.36

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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.