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Finding the Fourth Proportional to 145,378.84, 218,160.64 and 75,258.24

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Solution

The fourth proportional to 145,378.84, 218,160.64 and 75,258.24 is: 112,935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,378.84 : 218,160.64 = 75,258.24 : x
  2. Step 2: Convert to fraction form
    145,378.84/218,160.64 = 75,258.24/x
  3. Step 3: Cross multiply
    145,378.84x = 218,160.64 × 75,258.24
  4. Step 4: Simplify right side
    145,378.84x = 16,418,385,803.67
  5. Step 5: Solve for x
    x = 16,418,385,803.67/145,378.84
  6. Step 6: Final answer
    x = 112,935.18

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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.