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Finding the Fourth Proportional to 138,336.53, 190,909.53 and 77,088.24

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Solution

The fourth proportional to 138,336.53, 190,909.53 and 77,088.24 is: 106,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,336.53 : 190,909.53 = 77,088.24 : x
  2. Step 2: Convert to fraction form
    138,336.53/190,909.53 = 77,088.24/x
  3. Step 3: Cross multiply
    138,336.53x = 190,909.53 × 77,088.24
  4. Step 4: Simplify right side
    138,336.53x = 14,716,879,666.93
  5. Step 5: Solve for x
    x = 14,716,879,666.93/138,336.53
  6. Step 6: Final answer
    x = 106,384.63

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1.5x scale

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.