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Finding the Fourth Proportional to 153,576, 230,364 and 42,768

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Solution

The fourth proportional to 153,576, 230,364 and 42,768 is: 64,152

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,576 : 230,364 = 42,768 : x
  2. Step 2: Convert to fraction form
    153,576/230,364 = 42,768/x
  3. Step 3: Cross multiply
    153,576x = 230,364 × 42,768
  4. Step 4: Simplify right side
    153,576x = 9,852,207,552
  5. Step 5: Solve for x
    x = 9,852,207,552/153,576
  6. Step 6: Final answer
    x = 64,152

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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.