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Finding the Fourth Proportional to 286,737.76, 430,123.38 and 87,064.66

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Solution

The fourth proportional to 286,737.76, 430,123.38 and 87,064.66 is: 130,602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,737.76 : 430,123.38 = 87,064.66 : x
  2. Step 2: Convert to fraction form
    286,737.76/430,123.38 = 87,064.66/x
  3. Step 3: Cross multiply
    286,737.76x = 430,123.38 × 87,064.66
  4. Step 4: Simplify right side
    286,737.76x = 37,448,545,837.75
  5. Step 5: Solve for x
    x = 37,448,545,837.75/286,737.76
  6. Step 6: Final answer
    x = 130,602.07

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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.