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Finding the Fourth Proportional to 130,459.82, 180,032.20 and 73,098.90

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Solution

The fourth proportional to 130,459.82, 180,032.20 and 73,098.90 is: 100,875.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,459.82 : 180,032.20 = 73,098.90 : x
  2. Step 2: Convert to fraction form
    130,459.82/180,032.20 = 73,098.90/x
  3. Step 3: Cross multiply
    130,459.82x = 180,032.20 × 73,098.90
  4. Step 4: Simplify right side
    130,459.82x = 13,160,155,601.83
  5. Step 5: Solve for x
    x = 13,160,155,601.83/130,459.82
  6. Step 6: Final answer
    x = 100,875.17

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1.5x scale

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.