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Finding the Fourth Proportional to 101,543.82, 140,130.08 and 56,219.07

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Solution

The fourth proportional to 101,543.82, 140,130.08 and 56,219.07 is: 77,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,543.82 : 140,130.08 = 56,219.07 : x
  2. Step 2: Convert to fraction form
    101,543.82/140,130.08 = 56,219.07/x
  3. Step 3: Cross multiply
    101,543.82x = 140,130.08 × 56,219.07
  4. Step 4: Simplify right side
    101,543.82x = 7,877,983,231.84
  5. Step 5: Solve for x
    x = 7,877,983,231.84/101,543.82
  6. Step 6: Final answer
    x = 77,582.11

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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.