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Finding the Fourth Proportional to 130,662, 180,315 and 71,046

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Solution

The fourth proportional to 130,662, 180,315 and 71,046 is: 98,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,662 : 180,315 = 71,046 : x
  2. Step 2: Convert to fraction form
    130,662/180,315 = 71,046/x
  3. Step 3: Cross multiply
    130,662x = 180,315 × 71,046
  4. Step 4: Simplify right side
    130,662x = 12,810,659,490
  5. Step 5: Solve for x
    x = 12,810,659,490/130,662
  6. Step 6: Final answer
    x = 98,044.26

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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.