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Finding the Fourth Proportional to 172,210.08, 237,646.88 and 105,142.08

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Solution

The fourth proportional to 172,210.08, 237,646.88 and 105,142.08 is: 145,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,210.08 : 237,646.88 = 105,142.08 : x
  2. Step 2: Convert to fraction form
    172,210.08/237,646.88 = 105,142.08/x
  3. Step 3: Cross multiply
    172,210.08x = 237,646.88 × 105,142.08
  4. Step 4: Simplify right side
    172,210.08x = 24,986,687,268.71
  5. Step 5: Solve for x
    x = 24,986,687,268.71/172,210.08
  6. Step 6: Final answer
    x = 145,094.22

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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.