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Finding the Fourth Proportional to 76,117.80, 114,176.70 and 20,713.80

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Solution

The fourth proportional to 76,117.80, 114,176.70 and 20,713.80 is: 31,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,117.80 : 114,176.70 = 20,713.80 : x
  2. Step 2: Convert to fraction form
    76,117.80/114,176.70 = 20,713.80/x
  3. Step 3: Cross multiply
    76,117.80x = 114,176.70 × 20,713.80
  4. Step 4: Simplify right side
    76,117.80x = 2,365,033,328.46
  5. Step 5: Solve for x
    x = 2,365,033,328.46/76,117.80
  6. Step 6: Final answer
    x = 31,070.70

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1.5x scale

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.