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Finding the Fourth Proportional to 145,641.88, 218,112.90 and 83,122.84

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Solution

The fourth proportional to 145,641.88, 218,112.90 and 83,122.84 is: 124,484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,641.88 : 218,112.90 = 83,122.84 : x
  2. Step 2: Convert to fraction form
    145,641.88/218,112.90 = 83,122.84/x
  3. Step 3: Cross multiply
    145,641.88x = 218,112.90 × 83,122.84
  4. Step 4: Simplify right side
    145,641.88x = 18,130,163,688.64
  5. Step 5: Solve for x
    x = 18,130,163,688.64/145,641.88
  6. Step 6: Final answer
    x = 124,484.55

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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.