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Finding the Fourth Proportional to 145,621.68, 218,461.68 and 45,807

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Solution

The fourth proportional to 145,621.68, 218,461.68 and 45,807 is: 68,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,621.68 : 218,461.68 = 45,807 : x
  2. Step 2: Convert to fraction form
    145,621.68/218,461.68 = 45,807/x
  3. Step 3: Cross multiply
    145,621.68x = 218,461.68 × 45,807
  4. Step 4: Simplify right side
    145,621.68x = 10,007,074,175.76
  5. Step 5: Solve for x
    x = 10,007,074,175.76/145,621.68
  6. Step 6: Final answer
    x = 68,719.67

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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.