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Finding the Fourth Proportional to 145,851.52, 201,275.10 and 78,783.52

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Solution

The fourth proportional to 145,851.52, 201,275.10 and 78,783.52 is: 108,721.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,851.52 : 201,275.10 = 78,783.52 : x
  2. Step 2: Convert to fraction form
    145,851.52/201,275.10 = 78,783.52/x
  3. Step 3: Cross multiply
    145,851.52x = 201,275.10 × 78,783.52
  4. Step 4: Simplify right side
    145,851.52x = 15,857,160,866.35
  5. Step 5: Solve for x
    x = 15,857,160,866.35/145,851.52
  6. Step 6: Final answer
    x = 108,721.26

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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.