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Finding the Fourth Proportional to 287,070.66, 430,671.51 and 87,419.34

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Solution

The fourth proportional to 287,070.66, 430,671.51 and 87,419.34 is: 131,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,070.66 : 430,671.51 = 87,419.34 : x
  2. Step 2: Convert to fraction form
    287,070.66/430,671.51 = 87,419.34/x
  3. Step 3: Cross multiply
    287,070.66x = 430,671.51 × 87,419.34
  4. Step 4: Simplify right side
    287,070.66x = 37,649,019,161.00
  5. Step 5: Solve for x
    x = 37,649,019,161.00/287,070.66
  6. Step 6: Final answer
    x = 131,148.96

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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.