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Finding the Fourth Proportional to 98,615.40, 147,842.10 and 42,498.60

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Solution

The fourth proportional to 98,615.40, 147,842.10 and 42,498.60 is: 63,712.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,615.40 : 147,842.10 = 42,498.60 : x
  2. Step 2: Convert to fraction form
    98,615.40/147,842.10 = 42,498.60/x
  3. Step 3: Cross multiply
    98,615.40x = 147,842.10 × 42,498.60
  4. Step 4: Simplify right side
    98,615.40x = 6,283,082,271.06
  5. Step 5: Solve for x
    x = 6,283,082,271.06/98,615.40
  6. Step 6: Final answer
    x = 63,712.99

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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.