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Finding the Fourth Proportional to 101,563.16, 140,156.80 and 56,851.16

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Solution

The fourth proportional to 101,563.16, 140,156.80 and 56,851.16 is: 78,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,563.16 : 140,156.80 = 56,851.16 : x
  2. Step 2: Convert to fraction form
    101,563.16/140,156.80 = 56,851.16/x
  3. Step 3: Cross multiply
    101,563.16x = 140,156.80 × 56,851.16
  4. Step 4: Simplify right side
    101,563.16x = 7,968,075,818.98
  5. Step 5: Solve for x
    x = 7,968,075,818.98/101,563.16
  6. Step 6: Final answer
    x = 78,454.39

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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.