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Finding the Fourth Proportional to 98,712, 136,225.80 and 54,000

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Solution

The fourth proportional to 98,712, 136,225.80 and 54,000 is: 74,521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,712 : 136,225.80 = 54,000 : x
  2. Step 2: Convert to fraction form
    98,712/136,225.80 = 54,000/x
  3. Step 3: Cross multiply
    98,712x = 136,225.80 × 54,000
  4. Step 4: Simplify right side
    98,712x = 7,356,193,200.00
  5. Step 5: Solve for x
    x = 7,356,193,200.00/98,712
  6. Step 6: Final answer
    x = 74,521.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.