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Finding the Fourth Proportional to 114,347.20, 171,710.88 and 77,146.60

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Solution

The fourth proportional to 114,347.20, 171,710.88 and 77,146.60 is: 115,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,347.20 : 171,710.88 = 77,146.60 : x
  2. Step 2: Convert to fraction form
    114,347.20/171,710.88 = 77,146.60/x
  3. Step 3: Cross multiply
    114,347.20x = 171,710.88 × 77,146.60
  4. Step 4: Simplify right side
    114,347.20x = 13,246,910,575.01
  5. Step 5: Solve for x
    x = 13,246,910,575.01/114,347.20
  6. Step 6: Final answer
    x = 115,848.14

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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.