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Finding the Fourth Proportional to 103,358, 155,038.20 and 33,237.20

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Solution

The fourth proportional to 103,358, 155,038.20 and 33,237.20 is: 49,856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,358 : 155,038.20 = 33,237.20 : x
  2. Step 2: Convert to fraction form
    103,358/155,038.20 = 33,237.20/x
  3. Step 3: Cross multiply
    103,358x = 155,038.20 × 33,237.20
  4. Step 4: Simplify right side
    103,358x = 5,153,035,661.04
  5. Step 5: Solve for x
    x = 5,153,035,661.04/103,358
  6. Step 6: Final answer
    x = 49,856.19

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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.