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Finding the Fourth Proportional to 287,071.43, 430,669.38 and 87,386.60

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Solution

The fourth proportional to 287,071.43, 430,669.38 and 87,386.60 is: 131,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,071.43 : 430,669.38 = 87,386.60 : x
  2. Step 2: Convert to fraction form
    287,071.43/430,669.38 = 87,386.60/x
  3. Step 3: Cross multiply
    287,071.43x = 430,669.38 × 87,386.60
  4. Step 4: Simplify right side
    287,071.43x = 37,634,732,842.31
  5. Step 5: Solve for x
    x = 37,634,732,842.31/287,071.43
  6. Step 6: Final answer
    x = 131,098.84

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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.