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Finding the Fourth Proportional to 152,549.76, 228,878.64 and 68,303.28

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Solution

The fourth proportional to 152,549.76, 228,878.64 and 68,303.28 is: 102,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,549.76 : 228,878.64 = 68,303.28 : x
  2. Step 2: Convert to fraction form
    152,549.76/228,878.64 = 68,303.28/x
  3. Step 3: Cross multiply
    152,549.76x = 228,878.64 × 68,303.28
  4. Step 4: Simplify right side
    152,549.76x = 15,633,161,833.94
  5. Step 5: Solve for x
    x = 15,633,161,833.94/152,549.76
  6. Step 6: Final answer
    x = 102,479.10

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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.