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Finding the Fourth Proportional to 65,188.40, 89,973.99 and 39,703.16

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Solution

The fourth proportional to 65,188.40, 89,973.99 and 39,703.16 is: 54,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,188.40 : 89,973.99 = 39,703.16 : x
  2. Step 2: Convert to fraction form
    65,188.40/89,973.99 = 39,703.16/x
  3. Step 3: Cross multiply
    65,188.40x = 89,973.99 × 39,703.16
  4. Step 4: Simplify right side
    65,188.40x = 3,572,251,945.74
  5. Step 5: Solve for x
    x = 3,572,251,945.74/65,188.40
  6. Step 6: Final answer
    x = 54,798.89

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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.