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Finding the Fourth Proportional to 98,541.30, 147,848.40 and 39,419.40

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Solution

The fourth proportional to 98,541.30, 147,848.40 and 39,419.40 is: 59,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,541.30 : 147,848.40 = 39,419.40 : x
  2. Step 2: Convert to fraction form
    98,541.30/147,848.40 = 39,419.40/x
  3. Step 3: Cross multiply
    98,541.30x = 147,848.40 × 39,419.40
  4. Step 4: Simplify right side
    98,541.30x = 5,828,095,218.96
  5. Step 5: Solve for x
    x = 5,828,095,218.96/98,541.30
  6. Step 6: Final answer
    x = 59,143.68

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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.