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Finding the Fourth Proportional to 286,768.05, 430,152.77 and 87,089.95

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Solution

The fourth proportional to 286,768.05, 430,152.77 and 87,089.95 is: 130,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,768.05 : 430,152.77 = 87,089.95 : x
  2. Step 2: Convert to fraction form
    286,768.05/430,152.77 = 87,089.95/x
  3. Step 3: Cross multiply
    286,768.05x = 430,152.77 × 87,089.95
  4. Step 4: Simplify right side
    286,768.05x = 37,461,983,231.66
  5. Step 5: Solve for x
    x = 37,461,983,231.66/286,768.05
  6. Step 6: Final answer
    x = 130,635.14

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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.