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Finding the Fourth Proportional to 130,082, 179,513.20 and 70,466

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Solution

The fourth proportional to 130,082, 179,513.20 and 70,466 is: 97,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,082 : 179,513.20 = 70,466 : x
  2. Step 2: Convert to fraction form
    130,082/179,513.20 = 70,466/x
  3. Step 3: Cross multiply
    130,082x = 179,513.20 × 70,466
  4. Step 4: Simplify right side
    130,082x = 12,649,577,151.20
  5. Step 5: Solve for x
    x = 12,649,577,151.20/130,082
  6. Step 6: Final answer
    x = 97,243.10

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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.