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Finding the Fourth Proportional to 316,775.10, 475,113.12 and 103,541.40

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Solution

The fourth proportional to 316,775.10, 475,113.12 and 103,541.40 is: 155,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,775.10 : 475,113.12 = 103,541.40 : x
  2. Step 2: Convert to fraction form
    316,775.10/475,113.12 = 103,541.40/x
  3. Step 3: Cross multiply
    316,775.10x = 475,113.12 × 103,541.40
  4. Step 4: Simplify right side
    316,775.10x = 49,193,877,603.17
  5. Step 5: Solve for x
    x = 49,193,877,603.17/316,775.10
  6. Step 6: Final answer
    x = 155,295.91

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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.