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Finding the Fourth Proportional to 142,210.71, 213,432.71 and 72,110.07

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Solution

The fourth proportional to 142,210.71, 213,432.71 and 72,110.07 is: 108,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,210.71 : 213,432.71 = 72,110.07 : x
  2. Step 2: Convert to fraction form
    142,210.71/213,432.71 = 72,110.07/x
  3. Step 3: Cross multiply
    142,210.71x = 213,432.71 × 72,110.07
  4. Step 4: Simplify right side
    142,210.71x = 15,390,647,297.84
  5. Step 5: Solve for x
    x = 15,390,647,297.84/142,210.71
  6. Step 6: Final answer
    x = 108,224.25

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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.