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Finding the Fourth Proportional to 152,415.76, 210,406.68 and 101,513.20

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Solution

The fourth proportional to 152,415.76, 210,406.68 and 101,513.20 is: 140,136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,415.76 : 210,406.68 = 101,513.20 : x
  2. Step 2: Convert to fraction form
    152,415.76/210,406.68 = 101,513.20/x
  3. Step 3: Cross multiply
    152,415.76x = 210,406.68 × 101,513.20
  4. Step 4: Simplify right side
    152,415.76x = 21,359,055,388.18
  5. Step 5: Solve for x
    x = 21,359,055,388.18/152,415.76
  6. Step 6: Final answer
    x = 140,136.79

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1.5x scale

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.