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Finding the Fourth Proportional to 99,130.40, 148,469.88 and 77,649.01

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Solution

The fourth proportional to 99,130.40, 148,469.88 and 77,649.01 is: 116,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,130.40 : 148,469.88 = 77,649.01 : x
  2. Step 2: Convert to fraction form
    99,130.40/148,469.88 = 77,649.01/x
  3. Step 3: Cross multiply
    99,130.40x = 148,469.88 × 77,649.01
  4. Step 4: Simplify right side
    99,130.40x = 11,528,539,116.83
  5. Step 5: Solve for x
    x = 11,528,539,116.83/99,130.40
  6. Step 6: Final answer
    x = 116,296.71

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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.