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Finding the Fourth Proportional to 65,487.78, 90,368.28 and 37,188

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Solution

The fourth proportional to 65,487.78, 90,368.28 and 37,188 is: 51,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,487.78 : 90,368.28 = 37,188 : x
  2. Step 2: Convert to fraction form
    65,487.78/90,368.28 = 37,188/x
  3. Step 3: Cross multiply
    65,487.78x = 90,368.28 × 37,188
  4. Step 4: Simplify right side
    65,487.78x = 3,360,615,596.64
  5. Step 5: Solve for x
    x = 3,360,615,596.64/65,487.78
  6. Step 6: Final answer
    x = 51,316.68

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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.