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Finding the Fourth Proportional to 104,148, 156,248.64 and 30,276

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Solution

The fourth proportional to 104,148, 156,248.64 and 30,276 is: 45,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,148 : 156,248.64 = 30,276 : x
  2. Step 2: Convert to fraction form
    104,148/156,248.64 = 30,276/x
  3. Step 3: Cross multiply
    104,148x = 156,248.64 × 30,276
  4. Step 4: Simplify right side
    104,148x = 4,730,583,824.64
  5. Step 5: Solve for x
    x = 4,730,583,824.64/104,148
  6. Step 6: Final answer
    x = 45,421.74

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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.