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Finding the Fourth Proportional to 105,346, 145,377.52 and 57,599.68

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Solution

The fourth proportional to 105,346, 145,377.52 and 57,599.68 is: 79,487.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,346 : 145,377.52 = 57,599.68 : x
  2. Step 2: Convert to fraction form
    105,346/145,377.52 = 57,599.68/x
  3. Step 3: Cross multiply
    105,346x = 145,377.52 × 57,599.68
  4. Step 4: Simplify right side
    105,346x = 8,373,698,631.19
  5. Step 5: Solve for x
    x = 8,373,698,631.19/105,346
  6. Step 6: Final answer
    x = 79,487.58

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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.