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Finding the Fourth Proportional to 64,545.60, 89,094.72 and 40,712

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Solution

The fourth proportional to 64,545.60, 89,094.72 and 40,712 is: 56,196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,545.60 : 89,094.72 = 40,712 : x
  2. Step 2: Convert to fraction form
    64,545.60/89,094.72 = 40,712/x
  3. Step 3: Cross multiply
    64,545.60x = 89,094.72 × 40,712
  4. Step 4: Simplify right side
    64,545.60x = 3,627,224,240.64
  5. Step 5: Solve for x
    x = 3,627,224,240.64/64,545.60
  6. Step 6: Final answer
    x = 56,196.31

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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.