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Finding the Fourth Proportional to 105,049.67, 144,970.29 and 57,303.05

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Solution

The fourth proportional to 105,049.67, 144,970.29 and 57,303.05 is: 79,079.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,049.67 : 144,970.29 = 57,303.05 : x
  2. Step 2: Convert to fraction form
    105,049.67/144,970.29 = 57,303.05/x
  3. Step 3: Cross multiply
    105,049.67x = 144,970.29 × 57,303.05
  4. Step 4: Simplify right side
    105,049.67x = 8,307,239,051.53
  5. Step 5: Solve for x
    x = 8,307,239,051.53/105,049.67
  6. Step 6: Final answer
    x = 79,079.16

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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.