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Finding the Fourth Proportional to 130,477, 195,715.52 and 31,981

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Solution

The fourth proportional to 130,477, 195,715.52 and 31,981 is: 47,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,477 : 195,715.52 = 31,981 : x
  2. Step 2: Convert to fraction form
    130,477/195,715.52 = 31,981/x
  3. Step 3: Cross multiply
    130,477x = 195,715.52 × 31,981
  4. Step 4: Simplify right side
    130,477x = 6,259,178,045.12
  5. Step 5: Solve for x
    x = 6,259,178,045.12/130,477
  6. Step 6: Final answer
    x = 47,971.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.