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Finding the Fourth Proportional to 109,720.64, 151,411.38 and 65,008.64

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Solution

The fourth proportional to 109,720.64, 151,411.38 and 65,008.64 is: 89,710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,720.64 : 151,411.38 = 65,008.64 : x
  2. Step 2: Convert to fraction form
    109,720.64/151,411.38 = 65,008.64/x
  3. Step 3: Cross multiply
    109,720.64x = 151,411.38 × 65,008.64
  4. Step 4: Simplify right side
    109,720.64x = 9,843,047,894.32
  5. Step 5: Solve for x
    x = 9,843,047,894.32/109,720.64
  6. Step 6: Final answer
    x = 89,710.08

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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.