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Finding the Fourth Proportional to 130,492, 180,079.14 and 70,876

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Solution

The fourth proportional to 130,492, 180,079.14 and 70,876 is: 97,808.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,492 : 180,079.14 = 70,876 : x
  2. Step 2: Convert to fraction form
    130,492/180,079.14 = 70,876/x
  3. Step 3: Cross multiply
    130,492x = 180,079.14 × 70,876
  4. Step 4: Simplify right side
    130,492x = 12,763,289,126.64
  5. Step 5: Solve for x
    x = 12,763,289,126.64/130,492
  6. Step 6: Final answer
    x = 97,808.98

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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.