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Finding the Fourth Proportional to 286,616.46, 429,925.68 and 86,938.56

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Solution

The fourth proportional to 286,616.46, 429,925.68 and 86,938.56 is: 130,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,616.46 : 429,925.68 = 86,938.56 : x
  2. Step 2: Convert to fraction form
    286,616.46/429,925.68 = 86,938.56/x
  3. Step 3: Cross multiply
    286,616.46x = 429,925.68 × 86,938.56
  4. Step 4: Simplify right side
    286,616.46x = 37,377,119,526.22
  5. Step 5: Solve for x
    x = 37,377,119,526.22/286,616.46
  6. Step 6: Final answer
    x = 130,408.14

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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.