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Finding the Fourth Proportional to 130,312, 195,478.98 and 41,578.12

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Solution

The fourth proportional to 130,312, 195,478.98 and 41,578.12 is: 62,370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,312 : 195,478.98 = 41,578.12 : x
  2. Step 2: Convert to fraction form
    130,312/195,478.98 = 41,578.12/x
  3. Step 3: Cross multiply
    130,312x = 195,478.98 × 41,578.12
  4. Step 4: Simplify right side
    130,312x = 8,127,648,487.92
  5. Step 5: Solve for x
    x = 8,127,648,487.92/130,312
  6. Step 6: Final answer
    x = 62,370.68

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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.