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Finding the Fourth Proportional to 191,064.21, 286,599.06 and 72,742.05

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Solution

The fourth proportional to 191,064.21, 286,599.06 and 72,742.05 is: 109,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,064.21 : 286,599.06 = 72,742.05 : x
  2. Step 2: Convert to fraction form
    191,064.21/286,599.06 = 72,742.05/x
  3. Step 3: Cross multiply
    191,064.21x = 286,599.06 × 72,742.05
  4. Step 4: Simplify right side
    191,064.21x = 20,847,803,152.47
  5. Step 5: Solve for x
    x = 20,847,803,152.47/191,064.21
  6. Step 6: Final answer
    x = 109,114.12

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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.