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Finding the Fourth Proportional to 130,358, 179,894.04 and 70,742

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Solution

The fourth proportional to 130,358, 179,894.04 and 70,742 is: 97,623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,358 : 179,894.04 = 70,742 : x
  2. Step 2: Convert to fraction form
    130,358/179,894.04 = 70,742/x
  3. Step 3: Cross multiply
    130,358x = 179,894.04 × 70,742
  4. Step 4: Simplify right side
    130,358x = 12,726,064,177.68
  5. Step 5: Solve for x
    x = 12,726,064,177.68/130,358
  6. Step 6: Final answer
    x = 97,623.96

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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.