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Finding the Fourth Proportional to 152,521.44, 228,810.90 and 57,780

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Solution

The fourth proportional to 152,521.44, 228,810.90 and 57,780 is: 86,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,521.44 : 228,810.90 = 57,780 : x
  2. Step 2: Convert to fraction form
    152,521.44/228,810.90 = 57,780/x
  3. Step 3: Cross multiply
    152,521.44x = 228,810.90 × 57,780
  4. Step 4: Simplify right side
    152,521.44x = 13,220,693,802
  5. Step 5: Solve for x
    x = 13,220,693,802/152,521.44
  6. Step 6: Final answer
    x = 86,680.89

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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.