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Finding the Fourth Proportional to 77,654.64, 107,184.72 and 45,417.12

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Solution

The fourth proportional to 77,654.64, 107,184.72 and 45,417.12 is: 62,688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,654.64 : 107,184.72 = 45,417.12 : x
  2. Step 2: Convert to fraction form
    77,654.64/107,184.72 = 45,417.12/x
  3. Step 3: Cross multiply
    77,654.64x = 107,184.72 × 45,417.12
  4. Step 4: Simplify right side
    77,654.64x = 4,868,021,290.41
  5. Step 5: Solve for x
    x = 4,868,021,290.41/77,654.64
  6. Step 6: Final answer
    x = 62,688.09

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1.5x scale

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.