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Finding the Fourth Proportional to 225,341.64, 310,612.05 and 152,721.90

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Solution

The fourth proportional to 225,341.64, 310,612.05 and 152,721.90 is: 210,512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,341.64 : 310,612.05 = 152,721.90 : x
  2. Step 2: Convert to fraction form
    225,341.64/310,612.05 = 152,721.90/x
  3. Step 3: Cross multiply
    225,341.64x = 310,612.05 × 152,721.90
  4. Step 4: Simplify right side
    225,341.64x = 47,437,262,438.90
  5. Step 5: Solve for x
    x = 47,437,262,438.90/225,341.64
  6. Step 6: Final answer
    x = 210,512.64

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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.