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Finding the Fourth Proportional to 86,997.30, 130,459.02 and 30,851.52

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Solution

The fourth proportional to 86,997.30, 130,459.02 and 30,851.52 is: 46,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,997.30 : 130,459.02 = 30,851.52 : x
  2. Step 2: Convert to fraction form
    86,997.30/130,459.02 = 30,851.52/x
  3. Step 3: Cross multiply
    86,997.30x = 130,459.02 × 30,851.52
  4. Step 4: Simplify right side
    86,997.30x = 4,024,859,064.71
  5. Step 5: Solve for x
    x = 4,024,859,064.71/86,997.30
  6. Step 6: Final answer
    x = 46,264.18

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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.