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Finding the Fourth Proportional to 54,397.84, 75,068.76 and 30,202.40

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Solution

The fourth proportional to 54,397.84, 75,068.76 and 30,202.40 is: 41,679.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,397.84 : 75,068.76 = 30,202.40 : x
  2. Step 2: Convert to fraction form
    54,397.84/75,068.76 = 30,202.40/x
  3. Step 3: Cross multiply
    54,397.84x = 75,068.76 × 30,202.40
  4. Step 4: Simplify right side
    54,397.84x = 2,267,256,717.02
  5. Step 5: Solve for x
    x = 2,267,256,717.02/54,397.84
  6. Step 6: Final answer
    x = 41,679.17

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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.