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Finding the Fourth Proportional to 103,014.16, 155,223.16 and 84,704.34

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Solution

The fourth proportional to 103,014.16, 155,223.16 and 84,704.34 is: 127,633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,014.16 : 155,223.16 = 84,704.34 : x
  2. Step 2: Convert to fraction form
    103,014.16/155,223.16 = 84,704.34/x
  3. Step 3: Cross multiply
    103,014.16x = 155,223.16 × 84,704.34
  4. Step 4: Simplify right side
    103,014.16x = 13,148,075,690.84
  5. Step 5: Solve for x
    x = 13,148,075,690.84/103,014.16
  6. Step 6: Final answer
    x = 127,633.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.