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Finding the Fourth Proportional to 125,420.16, 188,156.16 and 42,312.96

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Solution

The fourth proportional to 125,420.16, 188,156.16 and 42,312.96 is: 63,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,420.16 : 188,156.16 = 42,312.96 : x
  2. Step 2: Convert to fraction form
    125,420.16/188,156.16 = 42,312.96/x
  3. Step 3: Cross multiply
    125,420.16x = 188,156.16 × 42,312.96
  4. Step 4: Simplify right side
    125,420.16x = 7,961,444,071.83
  5. Step 5: Solve for x
    x = 7,961,444,071.83/125,420.16
  6. Step 6: Final answer
    x = 63,478.18

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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.