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Finding the Fourth Proportional to 130,153.50, 195,230.52 and 31,657.50

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Solution

The fourth proportional to 130,153.50, 195,230.52 and 31,657.50 is: 47,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,153.50 : 195,230.52 = 31,657.50 : x
  2. Step 2: Convert to fraction form
    130,153.50/195,230.52 = 31,657.50/x
  3. Step 3: Cross multiply
    130,153.50x = 195,230.52 × 31,657.50
  4. Step 4: Simplify right side
    130,153.50x = 6,180,510,186.90
  5. Step 5: Solve for x
    x = 6,180,510,186.90/130,153.50
  6. Step 6: Final answer
    x = 47,486.32

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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.