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Finding the Fourth Proportional to 130,516, 180,112.08 and 70,900

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Solution

The fourth proportional to 130,516, 180,112.08 and 70,900 is: 97,842

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,516 : 180,112.08 = 70,900 : x
  2. Step 2: Convert to fraction form
    130,516/180,112.08 = 70,900/x
  3. Step 3: Cross multiply
    130,516x = 180,112.08 × 70,900
  4. Step 4: Simplify right side
    130,516x = 12,769,946,472
  5. Step 5: Solve for x
    x = 12,769,946,472/130,516
  6. Step 6: Final answer
    x = 97,842

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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.