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Finding the Fourth Proportional to 213,870.72, 320,594.40 and 101,352

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Solution

The fourth proportional to 213,870.72, 320,594.40 and 101,352 is: 151,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,870.72 : 320,594.40 = 101,352 : x
  2. Step 2: Convert to fraction form
    213,870.72/320,594.40 = 101,352/x
  3. Step 3: Cross multiply
    213,870.72x = 320,594.40 × 101,352
  4. Step 4: Simplify right side
    213,870.72x = 32,492,883,628.80
  5. Step 5: Solve for x
    x = 32,492,883,628.80/213,870.72
  6. Step 6: Final answer
    x = 151,927.69

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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.