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Finding the Fourth Proportional to 292,108, 438,162.96 and 70,492

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Solution

The fourth proportional to 292,108, 438,162.96 and 70,492 is: 105,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,108 : 438,162.96 = 70,492 : x
  2. Step 2: Convert to fraction form
    292,108/438,162.96 = 70,492/x
  3. Step 3: Cross multiply
    292,108x = 438,162.96 × 70,492
  4. Step 4: Simplify right side
    292,108x = 30,886,983,376.32
  5. Step 5: Solve for x
    x = 30,886,983,376.32/292,108
  6. Step 6: Final answer
    x = 105,738.23

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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.