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Finding the Fourth Proportional to 152,885.80, 229,328.70 and 142,388.20

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Solution

The fourth proportional to 152,885.80, 229,328.70 and 142,388.20 is: 213,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,885.80 : 229,328.70 = 142,388.20 : x
  2. Step 2: Convert to fraction form
    152,885.80/229,328.70 = 142,388.20/x
  3. Step 3: Cross multiply
    152,885.80x = 229,328.70 × 142,388.20
  4. Step 4: Simplify right side
    152,885.80x = 32,653,700,801.34
  5. Step 5: Solve for x
    x = 32,653,700,801.34/152,885.80
  6. Step 6: Final answer
    x = 213,582.30

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1.5x scale

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.