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Finding the Fourth Proportional to 97,308.74, 145,678.62 and 87,970.16

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Solution

The fourth proportional to 97,308.74, 145,678.62 and 87,970.16 is: 131,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,308.74 : 145,678.62 = 87,970.16 : x
  2. Step 2: Convert to fraction form
    97,308.74/145,678.62 = 87,970.16/x
  3. Step 3: Cross multiply
    97,308.74x = 145,678.62 × 87,970.16
  4. Step 4: Simplify right side
    97,308.74x = 12,815,371,509.98
  5. Step 5: Solve for x
    x = 12,815,371,509.98/97,308.74
  6. Step 6: Final answer
    x = 131,698.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.