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Finding the Fourth Proportional to 86,347.98, 129,547.80 and 52,191.90

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Solution

The fourth proportional to 86,347.98, 129,547.80 and 52,191.90 is: 78,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,347.98 : 129,547.80 = 52,191.90 : x
  2. Step 2: Convert to fraction form
    86,347.98/129,547.80 = 52,191.90/x
  3. Step 3: Cross multiply
    86,347.98x = 129,547.80 × 52,191.90
  4. Step 4: Simplify right side
    86,347.98x = 6,761,345,822.82
  5. Step 5: Solve for x
    x = 6,761,345,822.82/86,347.98
  6. Step 6: Final answer
    x = 78,303.46

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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.