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Finding the Fourth Proportional to 99,317.88, 148,829.13 and 78,309.18

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Solution

The fourth proportional to 99,317.88, 148,829.13 and 78,309.18 is: 117,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,317.88 : 148,829.13 = 78,309.18 : x
  2. Step 2: Convert to fraction form
    99,317.88/148,829.13 = 78,309.18/x
  3. Step 3: Cross multiply
    99,317.88x = 148,829.13 × 78,309.18
  4. Step 4: Simplify right side
    99,317.88x = 11,654,687,130.41
  5. Step 5: Solve for x
    x = 11,654,687,130.41/99,317.88
  6. Step 6: Final answer
    x = 117,347.32

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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.