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Finding the Fourth Proportional to 102,500.39, 153,768.74 and 31,421.40

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Solution

The fourth proportional to 102,500.39, 153,768.74 and 31,421.40 is: 47,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,500.39 : 153,768.74 = 31,421.40 : x
  2. Step 2: Convert to fraction form
    102,500.39/153,768.74 = 31,421.40/x
  3. Step 3: Cross multiply
    102,500.39x = 153,768.74 × 31,421.40
  4. Step 4: Simplify right side
    102,500.39x = 4,831,628,929.93
  5. Step 5: Solve for x
    x = 4,831,628,929.93/102,500.39
  6. Step 6: Final answer
    x = 47,137.67

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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.