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Finding the Fourth Proportional to 224,748, 310,020.89 and 139,892.40

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Solution

The fourth proportional to 224,748, 310,020.89 and 139,892.40 is: 192,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,748 : 310,020.89 = 139,892.40 : x
  2. Step 2: Convert to fraction form
    224,748/310,020.89 = 139,892.40/x
  3. Step 3: Cross multiply
    224,748x = 310,020.89 × 139,892.40
  4. Step 4: Simplify right side
    224,748x = 43,369,565,652.77
  5. Step 5: Solve for x
    x = 43,369,565,652.77/224,748
  6. Step 6: Final answer
    x = 192,969.75

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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.