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Finding the Fourth Proportional to 65,038.80, 97,480.76 and 31,283.60

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Solution

The fourth proportional to 65,038.80, 97,480.76 and 31,283.60 is: 46,888.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,038.80 : 97,480.76 = 31,283.60 : x
  2. Step 2: Convert to fraction form
    65,038.80/97,480.76 = 31,283.60/x
  3. Step 3: Cross multiply
    65,038.80x = 97,480.76 × 31,283.60
  4. Step 4: Simplify right side
    65,038.80x = 3,049,549,103.54
  5. Step 5: Solve for x
    x = 3,049,549,103.54/65,038.80
  6. Step 6: Final answer
    x = 46,888.15

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1.5x scale

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.