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Finding the Fourth Proportional to 76,117.80, 114,176.70 and 56,434.80

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Solution

The fourth proportional to 76,117.80, 114,176.70 and 56,434.80 is: 84,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,117.80 : 114,176.70 = 56,434.80 : x
  2. Step 2: Convert to fraction form
    76,117.80/114,176.70 = 56,434.80/x
  3. Step 3: Cross multiply
    76,117.80x = 114,176.70 × 56,434.80
  4. Step 4: Simplify right side
    76,117.80x = 6,443,539,229.16
  5. Step 5: Solve for x
    x = 6,443,539,229.16/76,117.80
  6. Step 6: Final answer
    x = 84,652.20

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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.