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Finding the Fourth Proportional to 77,312.88, 106,681.82 and 45,470.16

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Solution

The fourth proportional to 77,312.88, 106,681.82 and 45,470.16 is: 62,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,312.88 : 106,681.82 = 45,470.16 : x
  2. Step 2: Convert to fraction form
    77,312.88/106,681.82 = 45,470.16/x
  3. Step 3: Cross multiply
    77,312.88x = 106,681.82 × 45,470.16
  4. Step 4: Simplify right side
    77,312.88x = 4,850,839,197.14
  5. Step 5: Solve for x
    x = 4,850,839,197.14/77,312.88
  6. Step 6: Final answer
    x = 62,742.96

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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.