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Finding the Fourth Proportional to 101,653.98, 140,271.10 and 56,320.64

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Solution

The fourth proportional to 101,653.98, 140,271.10 and 56,320.64 is: 77,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,653.98 : 140,271.10 = 56,320.64 : x
  2. Step 2: Convert to fraction form
    101,653.98/140,271.10 = 56,320.64/x
  3. Step 3: Cross multiply
    101,653.98x = 140,271.10 × 56,320.64
  4. Step 4: Simplify right side
    101,653.98x = 7,900,158,125.50
  5. Step 5: Solve for x
    x = 7,900,158,125.50/101,653.98
  6. Step 6: Final answer
    x = 77,716.17

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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.