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Finding the Fourth Proportional to 86,807.14, 130,209.76 and 65,875.76

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Solution

The fourth proportional to 86,807.14, 130,209.76 and 65,875.76 is: 98,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,807.14 : 130,209.76 = 65,875.76 : x
  2. Step 2: Convert to fraction form
    86,807.14/130,209.76 = 65,875.76/x
  3. Step 3: Cross multiply
    86,807.14x = 130,209.76 × 65,875.76
  4. Step 4: Simplify right side
    86,807.14x = 8,577,666,899.42
  5. Step 5: Solve for x
    x = 8,577,666,899.42/86,807.14
  6. Step 6: Final answer
    x = 98,812.92

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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.