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Finding the Fourth Proportional to 64,646.16, 96,969.20 and 20,276.78

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Solution

The fourth proportional to 64,646.16, 96,969.20 and 20,276.78 is: 30,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,646.16 : 96,969.20 = 20,276.78 : x
  2. Step 2: Convert to fraction form
    64,646.16/96,969.20 = 20,276.78/x
  3. Step 3: Cross multiply
    64,646.16x = 96,969.20 × 20,276.78
  4. Step 4: Simplify right side
    64,646.16x = 1,966,223,135.18
  5. Step 5: Solve for x
    x = 1,966,223,135.18/64,646.16
  6. Step 6: Final answer
    x = 30,415.16

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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.