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Finding the Fourth Proportional to 92,782.55, 128,038.28 and 56,470.86

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Solution

The fourth proportional to 92,782.55, 128,038.28 and 56,470.86 is: 77,928.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,782.55 : 128,038.28 = 56,470.86 : x
  2. Step 2: Convert to fraction form
    92,782.55/128,038.28 = 56,470.86/x
  3. Step 3: Cross multiply
    92,782.55x = 128,038.28 × 56,470.86
  4. Step 4: Simplify right side
    92,782.55x = 7,230,431,502.17
  5. Step 5: Solve for x
    x = 7,230,431,502.17/92,782.55
  6. Step 6: Final answer
    x = 77,928.78

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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.