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Finding the Fourth Proportional to 147,642.40, 221,463.60 and 102,541.60

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Solution

The fourth proportional to 147,642.40, 221,463.60 and 102,541.60 is: 153,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,642.40 : 221,463.60 = 102,541.60 : x
  2. Step 2: Convert to fraction form
    147,642.40/221,463.60 = 102,541.60/x
  3. Step 3: Cross multiply
    147,642.40x = 221,463.60 × 102,541.60
  4. Step 4: Simplify right side
    147,642.40x = 22,709,231,885.76
  5. Step 5: Solve for x
    x = 22,709,231,885.76/147,642.40
  6. Step 6: Final answer
    x = 153,812.40

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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.