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Finding the Fourth Proportional to 100,944, 139,307.52 and 56,232

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Solution

The fourth proportional to 100,944, 139,307.52 and 56,232 is: 77,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,944 : 139,307.52 = 56,232 : x
  2. Step 2: Convert to fraction form
    100,944/139,307.52 = 56,232/x
  3. Step 3: Cross multiply
    100,944x = 139,307.52 × 56,232
  4. Step 4: Simplify right side
    100,944x = 7,833,540,464.64
  5. Step 5: Solve for x
    x = 7,833,540,464.64/100,944
  6. Step 6: Final answer
    x = 77,602.83

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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.