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Finding the Fourth Proportional to 103,960.97, 143,466.19 and 56,214.30

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Solution

The fourth proportional to 103,960.97, 143,466.19 and 56,214.30 is: 77,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,960.97 : 143,466.19 = 56,214.30 : x
  2. Step 2: Convert to fraction form
    103,960.97/143,466.19 = 56,214.30/x
  3. Step 3: Cross multiply
    103,960.97x = 143,466.19 × 56,214.30
  4. Step 4: Simplify right side
    103,960.97x = 8,064,851,841.98
  5. Step 5: Solve for x
    x = 8,064,851,841.98/103,960.97
  6. Step 6: Final answer
    x = 77,575.77

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1.5x scale

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.