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Finding the Fourth Proportional to 90,862.83, 136,313.67 and 27,688

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Solution

The fourth proportional to 90,862.83, 136,313.67 and 27,688 is: 41,537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,862.83 : 136,313.67 = 27,688 : x
  2. Step 2: Convert to fraction form
    90,862.83/136,313.67 = 27,688/x
  3. Step 3: Cross multiply
    90,862.83x = 136,313.67 × 27,688
  4. Step 4: Simplify right side
    90,862.83x = 3,774,252,894.96
  5. Step 5: Solve for x
    x = 3,774,252,894.96/90,862.83
  6. Step 6: Final answer
    x = 41,537.92

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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.