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Finding the Fourth Proportional to 130,158, 179,618.16 and 70,542

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Solution

The fourth proportional to 130,158, 179,618.16 and 70,542 is: 97,348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,158 : 179,618.16 = 70,542 : x
  2. Step 2: Convert to fraction form
    130,158/179,618.16 = 70,542/x
  3. Step 3: Cross multiply
    130,158x = 179,618.16 × 70,542
  4. Step 4: Simplify right side
    130,158x = 12,670,624,242.72
  5. Step 5: Solve for x
    x = 12,670,624,242.72/130,158
  6. Step 6: Final answer
    x = 97,348.03

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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.