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Finding the Fourth Proportional to 65,281.61, 97,762.11 and 31,894.04

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Solution

The fourth proportional to 65,281.61, 97,762.11 and 31,894.04 is: 47,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,281.61 : 97,762.11 = 31,894.04 : x
  2. Step 2: Convert to fraction form
    65,281.61/97,762.11 = 31,894.04/x
  3. Step 3: Cross multiply
    65,281.61x = 97,762.11 × 31,894.04
  4. Step 4: Simplify right side
    65,281.61x = 3,118,028,158.01
  5. Step 5: Solve for x
    x = 3,118,028,158.01/65,281.61
  6. Step 6: Final answer
    x = 47,762.74

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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.