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Finding the Fourth Proportional to 438,154, 657,231.06 and 105,730

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Solution

The fourth proportional to 438,154, 657,231.06 and 105,730 is: 158,595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,154 : 657,231.06 = 105,730 : x
  2. Step 2: Convert to fraction form
    438,154/657,231.06 = 105,730/x
  3. Step 3: Cross multiply
    438,154x = 657,231.06 × 105,730
  4. Step 4: Simplify right side
    438,154x = 69,489,039,973.80
  5. Step 5: Solve for x
    x = 69,489,039,973.80/438,154
  6. Step 6: Final answer
    x = 158,595.01

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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.