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Finding the Fourth Proportional to 152,555.80, 228,833.70 and 142,187.80

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Solution

The fourth proportional to 152,555.80, 228,833.70 and 142,187.80 is: 213,281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,555.80 : 228,833.70 = 142,187.80 : x
  2. Step 2: Convert to fraction form
    152,555.80/228,833.70 = 142,187.80/x
  3. Step 3: Cross multiply
    152,555.80x = 228,833.70 × 142,187.80
  4. Step 4: Simplify right side
    152,555.80x = 32,537,360,368.86
  5. Step 5: Solve for x
    x = 32,537,360,368.86/152,555.80
  6. Step 6: Final answer
    x = 213,281.70

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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.