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Finding the Fourth Proportional to 152,509.30, 228,873.30 and 85,878.70

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Solution

The fourth proportional to 152,509.30, 228,873.30 and 85,878.70 is: 128,879.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,509.30 : 228,873.30 = 85,878.70 : x
  2. Step 2: Convert to fraction form
    152,509.30/228,873.30 = 85,878.70/x
  3. Step 3: Cross multiply
    152,509.30x = 228,873.30 × 85,878.70
  4. Step 4: Simplify right side
    152,509.30x = 19,655,341,468.71
  5. Step 5: Solve for x
    x = 19,655,341,468.71/152,509.30
  6. Step 6: Final answer
    x = 128,879.63

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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.