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Finding the Fourth Proportional to 103,457.61, 155,169.90 and 47,262.69

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Solution

The fourth proportional to 103,457.61, 155,169.90 and 47,262.69 is: 70,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,457.61 : 155,169.90 = 47,262.69 : x
  2. Step 2: Convert to fraction form
    103,457.61/155,169.90 = 47,262.69/x
  3. Step 3: Cross multiply
    103,457.61x = 155,169.90 × 47,262.69
  4. Step 4: Simplify right side
    103,457.61x = 7,333,746,881.03
  5. Step 5: Solve for x
    x = 7,333,746,881.03/103,457.61
  6. Step 6: Final answer
    x = 70,886.49

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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.