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Finding the Fourth Proportional to 98,154.88, 147,154.32 and 42,712

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Solution

The fourth proportional to 98,154.88, 147,154.32 and 42,712 is: 64,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,154.88 : 147,154.32 = 42,712 : x
  2. Step 2: Convert to fraction form
    98,154.88/147,154.32 = 42,712/x
  3. Step 3: Cross multiply
    98,154.88x = 147,154.32 × 42,712
  4. Step 4: Simplify right side
    98,154.88x = 6,285,255,315.84
  5. Step 5: Solve for x
    x = 6,285,255,315.84/98,154.88
  6. Step 6: Final answer
    x = 64,034.06

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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.