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Finding the Fourth Proportional to 286,088.52, 429,172.89 and 86,386.26

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Solution

The fourth proportional to 286,088.52, 429,172.89 and 86,386.26 is: 129,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,088.52 : 429,172.89 = 86,386.26 : x
  2. Step 2: Convert to fraction form
    286,088.52/429,172.89 = 86,386.26/x
  3. Step 3: Cross multiply
    286,088.52x = 429,172.89 × 86,386.26
  4. Step 4: Simplify right side
    286,088.52x = 37,074,640,860.49
  5. Step 5: Solve for x
    x = 37,074,640,860.49/286,088.52
  6. Step 6: Final answer
    x = 129,591.50

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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.