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Finding the Fourth Proportional to 147,801.60, 221,841.60 and 77,731.20

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Solution

The fourth proportional to 147,801.60, 221,841.60 and 77,731.20 is: 116,670.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,801.60 : 221,841.60 = 77,731.20 : x
  2. Step 2: Convert to fraction form
    147,801.60/221,841.60 = 77,731.20/x
  3. Step 3: Cross multiply
    147,801.60x = 221,841.60 × 77,731.20
  4. Step 4: Simplify right side
    147,801.60x = 17,244,013,777.92
  5. Step 5: Solve for x
    x = 17,244,013,777.92/147,801.60
  6. Step 6: Final answer
    x = 116,670.01

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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.