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Finding the Fourth Proportional to 153,120, 229,680 and 42,312

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Solution

The fourth proportional to 153,120, 229,680 and 42,312 is: 63,468

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,120 : 229,680 = 42,312 : x
  2. Step 2: Convert to fraction form
    153,120/229,680 = 42,312/x
  3. Step 3: Cross multiply
    153,120x = 229,680 × 42,312
  4. Step 4: Simplify right side
    153,120x = 9,718,220,160
  5. Step 5: Solve for x
    x = 9,718,220,160/153,120
  6. Step 6: Final answer
    x = 63,468

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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.