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Finding the Fourth Proportional to 105,671.68, 145,828.56 and 63,232

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Solution

The fourth proportional to 105,671.68, 145,828.56 and 63,232 is: 87,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,671.68 : 145,828.56 = 63,232 : x
  2. Step 2: Convert to fraction form
    105,671.68/145,828.56 = 63,232/x
  3. Step 3: Cross multiply
    105,671.68x = 145,828.56 × 63,232
  4. Step 4: Simplify right side
    105,671.68x = 9,221,031,505.92
  5. Step 5: Solve for x
    x = 9,221,031,505.92/105,671.68
  6. Step 6: Final answer
    x = 87,261.14

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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.