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Finding the Fourth Proportional to 102,075.76, 152,814.23 and 71,575.14

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Solution

The fourth proportional to 102,075.76, 152,814.23 and 71,575.14 is: 107,152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,075.76 : 152,814.23 = 71,575.14 : x
  2. Step 2: Convert to fraction form
    102,075.76/152,814.23 = 71,575.14/x
  3. Step 3: Cross multiply
    102,075.76x = 152,814.23 × 71,575.14
  4. Step 4: Simplify right side
    102,075.76x = 10,937,699,154.25
  5. Step 5: Solve for x
    x = 10,937,699,154.25/102,075.76
  6. Step 6: Final answer
    x = 107,152.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.