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Finding the Fourth Proportional to 103,984, 143,497.94 and 56,237.34

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Solution

The fourth proportional to 103,984, 143,497.94 and 56,237.34 is: 77,607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,984 : 143,497.94 = 56,237.34 : x
  2. Step 2: Convert to fraction form
    103,984/143,497.94 = 56,237.34/x
  3. Step 3: Cross multiply
    103,984x = 143,497.94 × 56,237.34
  4. Step 4: Simplify right side
    103,984x = 8,069,942,441.08
  5. Step 5: Solve for x
    x = 8,069,942,441.08/103,984
  6. Step 6: Final answer
    x = 77,607.54

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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.