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Finding the Fourth Proportional to 100,931, 139,284.84 and 56,219

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Solution

The fourth proportional to 100,931, 139,284.84 and 56,219 is: 77,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,931 : 139,284.84 = 56,219 : x
  2. Step 2: Convert to fraction form
    100,931/139,284.84 = 56,219/x
  3. Step 3: Cross multiply
    100,931x = 139,284.84 × 56,219
  4. Step 4: Simplify right side
    100,931x = 7,830,454,419.96
  5. Step 5: Solve for x
    x = 7,830,454,419.96/100,931
  6. Step 6: Final answer
    x = 77,582.25

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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.