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Finding the Fourth Proportional to 100,459.68, 138,638.70 and 60,180

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Solution

The fourth proportional to 100,459.68, 138,638.70 and 60,180 is: 83,051.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,459.68 : 138,638.70 = 60,180 : x
  2. Step 2: Convert to fraction form
    100,459.68/138,638.70 = 60,180/x
  3. Step 3: Cross multiply
    100,459.68x = 138,638.70 × 60,180
  4. Step 4: Simplify right side
    100,459.68x = 8,343,276,966.00
  5. Step 5: Solve for x
    x = 8,343,276,966.00/100,459.68
  6. Step 6: Final answer
    x = 83,051.00

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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.