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Finding the Fourth Proportional to 100,931.84, 139,292.16 and 56,219.84

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Solution

The fourth proportional to 100,931.84, 139,292.16 and 56,219.84 is: 77,586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,931.84 : 139,292.16 = 56,219.84 : x
  2. Step 2: Convert to fraction form
    100,931.84/139,292.16 = 56,219.84/x
  3. Step 3: Cross multiply
    100,931.84x = 139,292.16 × 56,219.84
  4. Step 4: Simplify right side
    100,931.84x = 7,830,982,948.45
  5. Step 5: Solve for x
    x = 7,830,982,948.45/100,931.84
  6. Step 6: Final answer
    x = 77,586.84

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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.