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Finding the Fourth Proportional to 86,415.80, 129,429.30 and 51,423.80

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Solution

The fourth proportional to 86,415.80, 129,429.30 and 51,423.80 is: 77,020.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,415.80 : 129,429.30 = 51,423.80 : x
  2. Step 2: Convert to fraction form
    86,415.80/129,429.30 = 51,423.80/x
  3. Step 3: Cross multiply
    86,415.80x = 129,429.30 × 51,423.80
  4. Step 4: Simplify right side
    86,415.80x = 6,655,746,437.34
  5. Step 5: Solve for x
    x = 6,655,746,437.34/86,415.80
  6. Step 6: Final answer
    x = 77,020.02

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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.