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Finding the Fourth Proportional to 201,748, 278,420.88 and 112,324

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Solution

The fourth proportional to 201,748, 278,420.88 and 112,324 is: 155,011.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,748 : 278,420.88 = 112,324 : x
  2. Step 2: Convert to fraction form
    201,748/278,420.88 = 112,324/x
  3. Step 3: Cross multiply
    201,748x = 278,420.88 × 112,324
  4. Step 4: Simplify right side
    201,748x = 31,273,346,925.12
  5. Step 5: Solve for x
    x = 31,273,346,925.12/201,748
  6. Step 6: Final answer
    x = 155,011.93

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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.