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Finding the Fourth Proportional to 133,702.55, 184,509.50 and 77,113.92

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Solution

The fourth proportional to 133,702.55, 184,509.50 and 77,113.92 is: 106,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,702.55 : 184,509.50 = 77,113.92 : x
  2. Step 2: Convert to fraction form
    133,702.55/184,509.50 = 77,113.92/x
  3. Step 3: Cross multiply
    133,702.55x = 184,509.50 × 77,113.92
  4. Step 4: Simplify right side
    133,702.55x = 14,228,251,128.58
  5. Step 5: Solve for x
    x = 14,228,251,128.58/133,702.55
  6. Step 6: Final answer
    x = 106,417.20

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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.