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Finding the Fourth Proportional to 286,038.32, 429,126.84 and 86,346.78

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Solution

The fourth proportional to 286,038.32, 429,126.84 and 86,346.78 is: 129,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,038.32 : 429,126.84 = 86,346.78 : x
  2. Step 2: Convert to fraction form
    286,038.32/429,126.84 = 86,346.78/x
  3. Step 3: Cross multiply
    286,038.32x = 429,126.84 × 86,346.78
  4. Step 4: Simplify right side
    286,038.32x = 37,053,720,845.58
  5. Step 5: Solve for x
    x = 37,053,720,845.58/286,038.32
  6. Step 6: Final answer
    x = 129,541.11

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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.