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Finding the Fourth Proportional to 86,281, 129,421.34 and 49,319.08

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Solution

The fourth proportional to 86,281, 129,421.34 and 49,319.08 is: 73,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,281 : 129,421.34 = 49,319.08 : x
  2. Step 2: Convert to fraction form
    86,281/129,421.34 = 49,319.08/x
  3. Step 3: Cross multiply
    86,281x = 129,421.34 × 49,319.08
  4. Step 4: Simplify right side
    86,281x = 6,382,941,421.17
  5. Step 5: Solve for x
    x = 6,382,941,421.17/86,281
  6. Step 6: Final answer
    x = 73,978.53

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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.