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Finding the Fourth Proportional to 85,657.61, 128,483.74 and 40,711.32

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Solution

The fourth proportional to 85,657.61, 128,483.74 and 40,711.32 is: 61,065.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,657.61 : 128,483.74 = 40,711.32 : x
  2. Step 2: Convert to fraction form
    85,657.61/128,483.74 = 40,711.32/x
  3. Step 3: Cross multiply
    85,657.61x = 128,483.74 × 40,711.32
  4. Step 4: Simplify right side
    85,657.61x = 5,230,742,475.82
  5. Step 5: Solve for x
    x = 5,230,742,475.82/85,657.61
  6. Step 6: Final answer
    x = 61,065.71

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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.