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Finding the Fourth Proportional to 230,412, 317,968.56 and 124,428

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Solution

The fourth proportional to 230,412, 317,968.56 and 124,428 is: 171,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,412 : 317,968.56 = 124,428 : x
  2. Step 2: Convert to fraction form
    230,412/317,968.56 = 124,428/x
  3. Step 3: Cross multiply
    230,412x = 317,968.56 × 124,428
  4. Step 4: Simplify right side
    230,412x = 39,564,191,983.68
  5. Step 5: Solve for x
    x = 39,564,191,983.68/230,412
  6. Step 6: Final answer
    x = 171,710.64

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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.