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Finding the Fourth Proportional to 210,603.96, 315,716.28 and 77,455.74

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Solution

The fourth proportional to 210,603.96, 315,716.28 and 77,455.74 is: 116,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,603.96 : 315,716.28 = 77,455.74 : x
  2. Step 2: Convert to fraction form
    210,603.96/315,716.28 = 77,455.74/x
  3. Step 3: Cross multiply
    210,603.96x = 315,716.28 × 77,455.74
  4. Step 4: Simplify right side
    210,603.96x = 24,454,038,097.45
  5. Step 5: Solve for x
    x = 24,454,038,097.45/210,603.96
  6. Step 6: Final answer
    x = 116,113.86

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1.5x scale

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.