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Finding the Fourth Proportional to 86,830, 130,261.92 and 36,909.52

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Solution

The fourth proportional to 86,830, 130,261.92 and 36,909.52 is: 55,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,830 : 130,261.92 = 36,909.52 : x
  2. Step 2: Convert to fraction form
    86,830/130,261.92 = 36,909.52/x
  3. Step 3: Cross multiply
    86,830x = 130,261.92 × 36,909.52
  4. Step 4: Simplify right side
    86,830x = 4,807,904,941.48
  5. Step 5: Solve for x
    x = 4,807,904,941.48/86,830
  6. Step 6: Final answer
    x = 55,371.47

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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.