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Finding the Fourth Proportional to 65,702.25, 90,669.51 and 35,894.25

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Solution

The fourth proportional to 65,702.25, 90,669.51 and 35,894.25 is: 49,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,702.25 : 90,669.51 = 35,894.25 : x
  2. Step 2: Convert to fraction form
    65,702.25/90,669.51 = 35,894.25/x
  3. Step 3: Cross multiply
    65,702.25x = 90,669.51 × 35,894.25
  4. Step 4: Simplify right side
    65,702.25x = 3,254,514,059.32
  5. Step 5: Solve for x
    x = 3,254,514,059.32/65,702.25
  6. Step 6: Final answer
    x = 49,534.29

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1.5x scale

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.