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Finding the Fourth Proportional to 85,677.81, 128,547.48 and 38,288.94

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Solution

The fourth proportional to 85,677.81, 128,547.48 and 38,288.94 is: 57,447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,677.81 : 128,547.48 = 38,288.94 : x
  2. Step 2: Convert to fraction form
    85,677.81/128,547.48 = 38,288.94/x
  3. Step 3: Cross multiply
    85,677.81x = 128,547.48 × 38,288.94
  4. Step 4: Simplify right side
    85,677.81x = 4,921,946,748.87
  5. Step 5: Solve for x
    x = 4,921,946,748.87/85,677.81
  6. Step 6: Final answer
    x = 57,447.16

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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.