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Finding the Fourth Proportional to 100,842.72, 139,161.60 and 56,130.72

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Solution

The fourth proportional to 100,842.72, 139,161.60 and 56,130.72 is: 77,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,842.72 : 139,161.60 = 56,130.72 : x
  2. Step 2: Convert to fraction form
    100,842.72/139,161.60 = 56,130.72/x
  3. Step 3: Cross multiply
    100,842.72x = 139,161.60 × 56,130.72
  4. Step 4: Simplify right side
    100,842.72x = 7,811,240,804.35
  5. Step 5: Solve for x
    x = 7,811,240,804.35/100,842.72
  6. Step 6: Final answer
    x = 77,459.64

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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.