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Finding the Fourth Proportional to 159,142.16, 238,719.72 and 65,639

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Solution

The fourth proportional to 159,142.16, 238,719.72 and 65,639 is: 98,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,142.16 : 238,719.72 = 65,639 : x
  2. Step 2: Convert to fraction form
    159,142.16/238,719.72 = 65,639/x
  3. Step 3: Cross multiply
    159,142.16x = 238,719.72 × 65,639
  4. Step 4: Simplify right side
    159,142.16x = 15,669,323,701.08
  5. Step 5: Solve for x
    x = 15,669,323,701.08/159,142.16
  6. Step 6: Final answer
    x = 98,461.17

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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.