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Finding the Fourth Proportional to 98,574.80, 147,862.20 and 39,419.60

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Solution

The fourth proportional to 98,574.80, 147,862.20 and 39,419.60 is: 59,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,574.80 : 147,862.20 = 39,419.60 : x
  2. Step 2: Convert to fraction form
    98,574.80/147,862.20 = 39,419.60/x
  3. Step 3: Cross multiply
    98,574.80x = 147,862.20 × 39,419.60
  4. Step 4: Simplify right side
    98,574.80x = 5,828,668,779.12
  5. Step 5: Solve for x
    x = 5,828,668,779.12/98,574.80
  6. Step 6: Final answer
    x = 59,129.40

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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.