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Finding the Fourth Proportional to 103,459.86, 155,386.62 and 64,290.68

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Solution

The fourth proportional to 103,459.86, 155,386.62 and 64,290.68 is: 96,558.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,459.86 : 155,386.62 = 64,290.68 : x
  2. Step 2: Convert to fraction form
    103,459.86/155,386.62 = 64,290.68/x
  3. Step 3: Cross multiply
    103,459.86x = 155,386.62 × 64,290.68
  4. Step 4: Simplify right side
    103,459.86x = 9,989,911,462.70
  5. Step 5: Solve for x
    x = 9,989,911,462.70/103,459.86
  6. Step 6: Final answer
    x = 96,558.33

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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.