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Finding the Fourth Proportional to 70,838.40, 97,746.80 and 40,624.98

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Solution

The fourth proportional to 70,838.40, 97,746.80 and 40,624.98 is: 56,056.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,838.40 : 97,746.80 = 40,624.98 : x
  2. Step 2: Convert to fraction form
    70,838.40/97,746.80 = 40,624.98/x
  3. Step 3: Cross multiply
    70,838.40x = 97,746.80 × 40,624.98
  4. Step 4: Simplify right side
    70,838.40x = 3,970,961,795.06
  5. Step 5: Solve for x
    x = 3,970,961,795.06/70,838.40
  6. Step 6: Final answer
    x = 56,056.63

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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.