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Finding the Fourth Proportional to 172,856.38, 238,541.80 and 97,407.58

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Solution

The fourth proportional to 172,856.38, 238,541.80 and 97,407.58 is: 134,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,856.38 : 238,541.80 = 97,407.58 : x
  2. Step 2: Convert to fraction form
    172,856.38/238,541.80 = 97,407.58/x
  3. Step 3: Cross multiply
    172,856.38x = 238,541.80 × 97,407.58
  4. Step 4: Simplify right side
    172,856.38x = 23,235,779,466.84
  5. Step 5: Solve for x
    x = 23,235,779,466.84/172,856.38
  6. Step 6: Final answer
    x = 134,422.46

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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.