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Finding the Fourth Proportional to 86,065.47, 118,810.80 and 57,432.78

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Solution

The fourth proportional to 86,065.47, 118,810.80 and 57,432.78 is: 79,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,065.47 : 118,810.80 = 57,432.78 : x
  2. Step 2: Convert to fraction form
    86,065.47/118,810.80 = 57,432.78/x
  3. Step 3: Cross multiply
    86,065.47x = 118,810.80 × 57,432.78
  4. Step 4: Simplify right side
    86,065.47x = 6,823,634,538.02
  5. Step 5: Solve for x
    x = 6,823,634,538.02/86,065.47
  6. Step 6: Final answer
    x = 79,284.23

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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.