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Finding the Fourth Proportional to 101,404.16, 152,126.40 and 31,280.32

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Solution

The fourth proportional to 101,404.16, 152,126.40 and 31,280.32 is: 46,926.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,404.16 : 152,126.40 = 31,280.32 : x
  2. Step 2: Convert to fraction form
    101,404.16/152,126.40 = 31,280.32/x
  3. Step 3: Cross multiply
    101,404.16x = 152,126.40 × 31,280.32
  4. Step 4: Simplify right side
    101,404.16x = 4,758,562,472.45
  5. Step 5: Solve for x
    x = 4,758,562,472.45/101,404.16
  6. Step 6: Final answer
    x = 46,926.70

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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.