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Finding the Fourth Proportional to 287,205.16, 430,823.94 and 87,532.06

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Solution

The fourth proportional to 287,205.16, 430,823.94 and 87,532.06 is: 131,303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,205.16 : 430,823.94 = 87,532.06 : x
  2. Step 2: Convert to fraction form
    287,205.16/430,823.94 = 87,532.06/x
  3. Step 3: Cross multiply
    287,205.16x = 430,823.94 × 87,532.06
  4. Step 4: Simplify right side
    287,205.16x = 37,710,906,614.19
  5. Step 5: Solve for x
    x = 37,710,906,614.19/287,205.16
  6. Step 6: Final answer
    x = 131,303.03

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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.