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Finding the Fourth Proportional to 105,482.40, 157,836 and 99,782.88

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Solution

The fourth proportional to 105,482.40, 157,836 and 99,782.88 is: 149,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,482.40 : 157,836 = 99,782.88 : x
  2. Step 2: Convert to fraction form
    105,482.40/157,836 = 99,782.88/x
  3. Step 3: Cross multiply
    105,482.40x = 157,836 × 99,782.88
  4. Step 4: Simplify right side
    105,482.40x = 15,749,330,647.68
  5. Step 5: Solve for x
    x = 15,749,330,647.68/105,482.40
  6. Step 6: Final answer
    x = 149,307.66

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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.