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Finding the Fourth Proportional to 202,038.17, 278,829.27 and 111,411.90

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Solution

The fourth proportional to 202,038.17, 278,829.27 and 111,411.90 is: 153,757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,038.17 : 278,829.27 = 111,411.90 : x
  2. Step 2: Convert to fraction form
    202,038.17/278,829.27 = 111,411.90/x
  3. Step 3: Cross multiply
    202,038.17x = 278,829.27 × 111,411.90
  4. Step 4: Simplify right side
    202,038.17x = 31,064,898,746.31
  5. Step 5: Solve for x
    x = 31,064,898,746.31/202,038.17
  6. Step 6: Final answer
    x = 153,757.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.