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Finding the Fourth Proportional to 152,551.64, 210,513.66 and 85,470.68

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Solution

The fourth proportional to 152,551.64, 210,513.66 and 85,470.68 is: 117,945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,551.64 : 210,513.66 = 85,470.68 : x
  2. Step 2: Convert to fraction form
    152,551.64/210,513.66 = 85,470.68/x
  3. Step 3: Cross multiply
    152,551.64x = 210,513.66 × 85,470.68
  4. Step 4: Simplify right side
    152,551.64x = 17,992,745,669.49
  5. Step 5: Solve for x
    x = 17,992,745,669.49/152,551.64
  6. Step 6: Final answer
    x = 117,945.28

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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.