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Finding the Fourth Proportional to 122,492.51, 169,038.86 and 77,199.74

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Solution

The fourth proportional to 122,492.51, 169,038.86 and 77,199.74 is: 106,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,492.51 : 169,038.86 = 77,199.74 : x
  2. Step 2: Convert to fraction form
    122,492.51/169,038.86 = 77,199.74/x
  3. Step 3: Cross multiply
    122,492.51x = 169,038.86 × 77,199.74
  4. Step 4: Simplify right side
    122,492.51x = 13,049,754,810.70
  5. Step 5: Solve for x
    x = 13,049,754,810.70/122,492.51
  6. Step 6: Final answer
    x = 106,535.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.